English

On two quotients of $S^2\times S^2$

Geometric Topology 2024-01-12 v1 Algebraic Topology

Abstract

In this note we prove that two seemingly different smooth 4-manifolds arising as quotients of S2×S2S^2\times S^2 by free actions of Z/4\mathbb{Z}/4 are in fact diffeomorphic, answering a question of Hambleton and Hillman.

Keywords

Cite

@article{arxiv.2401.05953,
  title  = {On two quotients of $S^2\times S^2$},
  author = {Andrea Bianchi},
  journal= {arXiv preprint arXiv:2401.05953},
  year   = {2024}
}

Comments

4 pages, comments welcome